Some Parameterized Quantum Simpson’s and Quantum Newton’s Integral Inequalities via Quantum Differentiable Convex Mappings | Zendy

Xue Xiao You | Zendy; Muhammad Aamir Ali | Zendy; Hüseyin Budak | Zendy; Miguel Vivas–Cortez | Zendy; Shahid Qaisar | Zendy

Open Access

Some Parameterized Quantum Simpson’s and Quantum Newton’s Integral Inequalities via Quantum Differentiable Convex Mappings

Author(s) -

Xue Xiao You,

Muhammad Aamir Ali,

Hüseyin Budak,

Miguel Vivas–Cortez,

Shahid Qaisar

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/5526726

Subject(s) - mathematics , quantum , pure mathematics , parameterized complexity , quantum operation , midpoint , quantum mechanics , quantum dynamics , combinatorics , physics , geometry

In this work, two generalized quantum integral identities are proved by using some parameters. By utilizing these equalities, we present several parameterized quantum inequalities for convex mappings. These quantum inequalities generalize many of the important inequalities that exist in the literature, such as quantum trapezoid inequalities, quantum Simpson’s inequalities, and quantum Newton’s inequalities. We also give some new midpoint-type inequalities as special cases. The results in this work naturally generalize the results for the Riemann integral.

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